2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67681The universal C*-algebra generated by n projections has been described. As an immediate corollary one obtains structure theorem for a pair of projections and the solution to an associated index problem. This puts the study of a pair of projections in the proper perspective of noncommutative geometry.Operator Algebras46L87text